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The Journal of Analysis

, Volume 26, Issue 1, pp 27–37 | Cite as

New congruences for k-tuples t-core partitions

  • Nipen Saikia
  • Chayanika Boruah
Original Research Paper
  • 31 Downloads

Abstract

Let \(A_{t,k}(n)\) denote the number of partition k-tuples of n where each partition is t-core. In this paper, we prove some Ramanujan-type congruences for the partition function \(A_{t,k}(n)\) when \((t,k)=(3,4)\), (3,9), (4,8), (5, 6), (8, 4), (9, 3) and (9, 6) by employing q-series identities.

Keywords

t-core partition k-tuple Partition congruence q-series identities 

Mathematics Subject Classification

05A17 11P83 

Notes

Acknowledgements

The authors are extremely grateful to the anonymous referee for his/her valuable suggestions and comments.

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Copyright information

© Forum D'Analystes, Chennai 2017

Authors and Affiliations

  1. 1.Department of MathematicsRajiv Gandhi UniversityDoimukhIndia

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